138213082022400
138,213,082,022,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138213082022400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
138213082022400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138213082022400:
29 × 32 × 52 × 7 × 11 × 29 × 7332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 11 × 29 × 733 × 733)See below for interesting mathematical facts about the number 138213082022400 from the Numbermatics database.
Names of 138213082022400
- Cardinal: 138213082022400 can be written as One hundred thirty-eight trillion, two hundred thirteen billion, eighty-two million, twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.382130820224 × 1014
Factors of 138213082022400
Divisors of 138213082022400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 29 30 32 33 35 36 40 42 44 45 48 50 55 56 58 60 63 64 66 70 72 75 77 80 84 87 88 90 96 99 100 105 110 112 116 120 126 128 132 140 144 145 150 154 160 165 168 174 175 176 180 192 198 200 203 210 220 224 225 231 232 240 252 256 261 264 275 280 288 290 300 308 315 319 320 330 336 348 350 352 360 384 385 396 400 406 420 435 440 448 450 462 464 480 495 504 512 522 525 528 550 560 576 580 600 609 616 630 638 640 660 672 693 696 700 704 720 725 733 768 770 792 800 812 825 840 870 880 896 900 924 928 957 960 990 1008 1015 1044 1050 1056 1100 1120 1152 1155 1160 1200 1218 1232 1260 1276 1280 1305 1320 1344 1386 1392 1400 1408 1440 1450 1466 1536 1540 1575 1584 1595 1600 1624 1650 1680 1740 1760 1792 1800 1827 1848 1856 1914 1920 1925 1980 2016 2030 2088 2100 2112 2175 2199 2200 2233 2240 2304 2310 2320 2400 2436 2464 2475 2520 2552 2560 2610 2640 2688 2772 2784 2800 2816 2871 2880 2900 2932 3045 3080 3150 3168 3190 3200 3248 3300 3360 3465 3480 3520 3584 3600 3654 3665 3696 3712 3828 3840 3850 3960 4032 4060 4176 4200 4224 4350 4398 4400 4466 4480 4608 4620 4640 4785 4800 4872 4928 4950 5040 5075 5104 5131 5220 5280 5376 5544 5568 5600 5632 5742 5760 5775 5800 5864 6090 6160 6300 6336 6380 6400 6496 6525 6597 6600 6699 6720 6930 6960 7040 7200 7308 7330 7392 7424 7656 7680 7700 7920 7975 8063 8064 8120 8352 8400 8448 8700 8796 8800 8932 8960 9135 9240 9280 9570 9600 9744 9856 9900 10080 10150 10208 10262 10440 10560 10752 10995 11088 11136 11165 11200 11484 11520 11550 11600 11728 12180 12320 12600 12672 12760 12800 12992 13050 13194 13200 13398 13440 13860 13920 14080 14355 14400 14616 14660 14784 14848 15225 15312 15393 15400 15840 15950 16126 16128 16240 16704 16800 16896 17325 17400 17592 17600 17864 17920 18270 18325 18480 18560 19140 19200 19488 19712 19800 20097 20160 20300 20416 20524 20880 21120 21257 21990 22176 22272 22330 22400 22968 23040 23100 23200 23456 23925 24189 24360 24640 25200 25344 25520 25655 25984 26100 26388 26400 26796 26880 27720 27840 28160 28710 28800 29232 29320 29568 30450 30624 30786 30800 31680 31900 32252 32256 32480 32985 33408 33495 33600 34650 34800 35184 35200 35728 36540 36650 36960 37120 38280 38400 38976 39424 39600 40194 40315 40320 40600 40832 41048 41760 42240 42514 43980 44352 44544 44660 44800 45675 45936 46179 46200 46400 46912 47850 48378 48720 49280 50400 50688 51040 51310 51968 52200 52776 52800 53592 53760 54975 55440 55680 55825 56441 57420 57600 58464 58640 59136 60900 61248 61572 61600 63360 63771 63800 64504 64960 65970 66816 66990 67200 69300 69600 70368 70400 71456 71775 72567 73080 73300 73920 74240 76560 76965 77952 79200 80388 80630 80640 81200 81664 82096 83520 84480 85028 87960 88704 89320 89600 91350 91872 92358 92400 92800 93824 95700 96756 97440 98560 100485 100800 102080 102620 103936 104400 105552 105600 106285 107184 109950 110880 111360 111650 112882 114840 115200 116928 117280 118272 120945 121800 122496 123144 123200 126720 127542 127600 128275 129008 129920 131940 133632 133980 134400 138600 139200 140736 140800 142912 143550 145134 146160 146600 147840 148799 153120 153930 155904 158400 160776 161260 161280 162400 163328 164192 164925 167040 167475 169323 170056 175920 177408 178640 182700 183744 184716 184800 185600 187648 191313 191400 193512 194880 197120 200970 201575 201600 204160 205240 208800 211104 211200 212570 214368 219900 221760 222720 223300 225764 229680 230895 233827 233856 234560 241890 243600 244992 246288 246400 253440 255084 255200 256550 258016 259840 263880 267960 268800 277200 278400 281472 282205 285824 287100 290268 292320 293200 295680 297598 306240 307860 311808 316800 318855 321552 322520 324800 328384 329850 334080 334950 338646 340112 351840 354816 357280 362835 365400 367488 369432 369600 371200 375296 382626 382800 384825 387024 389760 401940 403150 403200 408320 410480 417600 422208 422400 425140 428736 439800 443520 446397 446600 451528 459360 461790 467654 467712 469120 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736555050 744682554 747906288 748246400 752204600 756502912 773696160 779069050 785658720 812750400 816268800 825275904 827425060 838035968 841777200 846230175 851065776 856975955 857082240 859662400 872557336 886526850 897895680 902645520 928857600 934882860 942790464 945628640 952313600 962821888 967120200 981627003 982073400 992910072 997208384 1028371146 1031594880 1034281325 1047544960 1063832220 1071352800 1077474816 1083174624 1083667200 1090696670 1121859432 1122369600 1128306900 1134754368 1142776320 1168603575 1178488080 1182035800 1199766337 1203527360 1224403200 1237913856 1241137590 1246510480 1257053952 1289493600 1300400640 1308836004 1309431200 1323880096 1329790275 1346843520 1353968280 1371161528 1375459840 1402324290 1418442960 1428470400 1444232832 1473110100 1489365108 1495812576 1496492800 1504409200 1513005824 1542556719 1547392320 1558138100 1571317440 1625500800 1636045005 1654850120 1683554400 1692460350 1702131552 1713951910 1714164480 1719324800 1745114672 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4285411200 4332698496 4362786680 4487437728 4489478400 4513227600 4539017472 4674414300 4713952320 4728143200 4799065348 4814109440 4908135015 4964550360 4986041920 5141855730 5157974400 5235344016 5237724800 5295520384 5319161100 5387374080 5415873120 5453483350 5484646112 5609297160 5673771840 5713881600 5776931328 5892440400 5957460432 5983250304 5998831685 6017636800 6170226876 6189569280 6205687950 6232552400 6285269760 6502003200 6544180020 6619400480 6734217600 6769841400 6808526208 6855807640 6877299200 6980458688 7011621450 7092214800 7198598022 7221164160 7446825540 7479062880 7542323712 7565029120 7712783595 7736961600 7853016024 7856587200 7943280576 7977667072 8180225025 8226969168 8274250600 8510657760 8569759550 8570822400 8665396992 8725573360 8974875456 8978956800 9026455200 9078034944 9308531925 9348828600 9427904640 9456286400 9598130696 9628218880 9816270030 9929100720 9972083840 10283711460 10315948800 10470688032 10475449600 10591040768 10638322200 10797897033 10831746240 10906966700 10969292224 11218594320 11347543680 11784880800 11914920864 11966500608 11997663370 12035273600 12340453752 12379138560 12411375900 12465104800 12570539520 12854639325 13088360040 13238800960 13468435200 13539682800 13617052416 13711615280 13960917376 14023242900 14184429600 14397196044 14442328320 14893651080 14958125760 15130058240 15425567190 15473923200 15706032048 15713174400 15886561152 16360450050 16453938336 16548501200 17021315520 17139519100 17141644800 17330793984 17451146720 17949750912 17996495055 18052910400 18617063850 18697657200 18855809280 18912572800 19196261392 19632540060 19858201440 19944167680 20567422920 20631897600 20941376064 20950899200 21182081536 21276644400 21595794066 21663492480 21813933400 21938584448 22437188640 22695087360 23569761600 23829841728 23933001216 23995326740 24070547200 24540675075 24680907504 24822751800 24930209600 25709278650 26176720080 26477601920 26936870400 27079365600 27234104832 27423230560 27921834752 28046485800 28368859200 28794392088 28884656640 29787302160 29916251520 29994158425 30851134380 30947846400 31412064096 31426348800 31773122304 32720900100 32907876672 33097002400 34042631040 34279038200 34902293440 35899501824 35992990110 36105820800 37234127700 37395314400 37711618560 37825145600 38392522784 38563917975 39265080120 39716402880 39888335360 41134845840 41882752128 42553288800 43191588132 43326984960 43627866800 43877168896 44874377280 45390174720 47139523200 47659683456 47990653480 48141094400 49081350150 49361815008 49645503600 49860419200 51418557300 52353440160 52955203840 53989485165 54158731200 54846461120 55843669504 56092971600 56737718400 57588784176 59574604320 59832503040 59988316850 61702268760 61895692800 62824128192 62852697600 63546244608 65441800200 65815753344 66194004800 68085262080 68558076400 69804586880 71799003648 71985980220 72211641600 74468255400 74790628800 75650291200 76785045568 77127835950 78530160240 79432805760 82269691680 83765504256 85106577600 86383176264 86653969920 87255733600 87754337792 89748754560 89982475275 94279046400 95319366912 95981306960 98162700300 98723630016 99291007200 99720838400 102837114600 104706880320 105910407680 107978970330 108317462400 109692922240 112185943200 113475436800 115177568352 119149208640 119665006080 119976633700 123404537520 125648256384 130883600400 131631506688 132388009600 136170524160 137116152800 139609173760 143971960440 144423283200 148936510800 149581257600 153570091136 154255671900 157060320480 158865611520 164539383360 167531008512 170213155200 172766352528 174511467200 179497509120 179964950550 188558092800 190638733824 191962613920 196325400600 197447260032 198582014400 199441676800 205674229200 209413760640 215957940660 216634924800 219385844480 224371886400 226950873600 230355136704 238298417280 239953267400 246809075040 251296512768 261767200800 263263013376 264776019200 269947425825 274232305600 279218347520 287943920880 297873021600 299162515200 307140182272 308511343800 314120640960 317731223040 329078766720 340426310400 345532705056 349022934400 358995018240 359929901100 383925227840 392650801200 394894520064 397164028800 411348458400 418827521280 431915881320 433269849600 438771688960 448743772800 460710273408 476596834560 479906534800 493618150080 502593025536 523534401600 529552038400 539894851650 548464611200 575887841760 595746043200 598325030400 614280364544 617022687600 628241281920 658157533440 680852620800 691065410112 698045868800 719859802200 767850455680 785301602400 789789040128 794328057600 822696916800 837655042560 863831762640 897487545600 921420546816 953193669120 959813069600 987236300160 1047068803200 1079789703300 1096929222400 1151775683520 1191492086400 1234045375200 1256482563840 1316315066880 1382130820224 1396091737600 1439719604400 1535700911360 1570603204800 1588656115200 1645393833600 1727663525280 1794975091200 1842841093632 1919626139200 1974472600320 2094137606400 2159579406600 2193858444800 2303551367040 2382984172800 2468090750400 2512965127680 2764261640448 2879439208800 3071401822720 3141206409600 3290787667200 3455327050560 3839252278400 3948945200640 4188275212800 4319158813200 4607102734080 4765968345600 4936181500800 5528523280896 5758878417600 6282412819200 6581575334400 6910654101120 7678504556800 8638317626400 9214205468160 9872363001600 11517756835200 12564825638400 13821308202240 15357009113600 17276635252800 19744726003200 23035513670400 27642616404480 34553270505600 46071027340800 69106541011200 138213082022400
- Sum of all divisors σ(n): 638813388058560
- Sum of proper divisors (its aliquot sum) s(n): 500600306036160
- 138213082022400 is an abundant number, because the sum of its proper divisors (500600306036160) is greater than itself. Its abundance is 362387224013760
Bases of 138213082022400
- Binary: 111110110110100001111011010100001000010000000002
- Hexadecimal: 0x7DB43DA84200
- Base-36: 1CZQ7OHA80
Squares and roots of 138213082022400
- 138213082022400 squared (1382130820224002) is 19102856042130670074101760000
- 138213082022400 cubed (1382130820224003) is 2640264609013105733010499640884199424000000
-
The
square root of 138213082022400 is 11756405.9993860369 -
The
cube root of 138213082022400 is 51703.0762650909
Scales and comparisons
How big is 138213082022400?- 138,213,082,022,400 seconds is equal to 4,394,748 years, 25 weeks, 2 days, 8 hours.
-
To count from 1 to 138,213,082,022,400 would take you about ten million, nine hundred eighty-six thousand, eight hundred seventy-one years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138213082022400 cubic inches would be around 4308.6 feet tall.
Recreational maths with 138213082022400
- 138213082022400 backwards is 004220280312831
- 138213082022400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138213082022400's digits is 36
- More coming soon!
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"Number 138213082022400 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 138213082022400 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138213082022400/
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Numbermatics. 2024. "Number 138213082022400 - Facts about the integer". https://numbermatics.com/n/138213082022400/
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